Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400bz |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
229909701780000000 = 28 · 36 · 57 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-452908,-114876188] |
[a1,a2,a3,a4,a6] |
Generators |
[-368:1350:1] |
Generators of the group modulo torsion |
j |
2568589220328784/57477425445 |
j-invariant |
L |
4.8356501303098 |
L(r)(E,1)/r! |
Ω |
0.18428437329713 |
Real period |
R |
1.640009590833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997848127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080i2 |
Quadratic twists by: 5 |